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An invariant formula for orthogonal distributions

✍ Scribed by Patrick Coulton

Publisher
Springer
Year
1988
Tongue
English
Weight
264 KB
Volume
6
Category
Article
ISSN
0232-704X

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✦ Synopsis

We study integrable distributions on space forms. Let M be a Riemannian manifold with the natural SO (n + r) structure induced by the metric. Assume that a reduction to SO (n) x SO (r) structure gives a double foliation. We call the double foliation an integrable SO (n) x SO (r) distribution on M. We give a formula for space forms which is independent of the choice of integrable SO (n) x SO (r) distribution, and we include some applications.

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